Matlab ode45 Tutorial Part 2C: A Matrix Method (Faster)

I finally got around to finishing the all the "subsections" of Part 2 of this tutorial. I didn't originally intend to make this video, but I was encouraged to do so after being asked about a faster way to put equations in state space form. This video shows an easy way to take physical, *linear* MDOF systems and put them in state space format using matrix equations. Be warned that in addition to requiring a linear system, this method assumes that the mass matrix is invertible. This method is not restricted to physical systems, but may be applied to *any* linear system of 2nd order ordinary differential equations (where the 2nd-order derivative matrix is invertible). Hope this helps! As a warning to ME students attending UMCP and submitting ode45 assignments to Professor Nguyen: Don't think he won't expect you to understand and explain how this process works if you use it. If you use this on any of his assignments, I strongly recommend studying the derivation for this state space set-up. Textbook: Vibrations, Second Edition by Balakumar Balachandran and Edward B. Magrab I want to give my sincerest thanks to the legendary Professor Vincent Nguyen at the University of Maryland, College Park. Without his help, I would never be able to understand how to use Matlab's ode solver like I do today.